A Matrix Equation Approach to the Design of Low-Order Regulators

Publisher Website
Google Scholar
Abstract
This paper presents an algorithm for stabilizing a linear multi Variable system with a controller of fixed dynamic order. This is an output feedback stabilization problem. An algorithm attempts to solve this via a sequence of approximate pole assignment problems. The approximation is driven by the optimization of a performance index consisting of a weighted sum of the condition number of the closed-loop eigenvectors and the norm of the difference between the computed and actual controls.The algorithm can be used for generating low-order solutions to the regulator problem. The problem treated here is useful in design problems that involve parameter optimization and is also important in practical situations where stabilization is to be accomplished with a fixed number of available parameters. This paper presents an algorithm for stabilizing a linear multi Variable system with a controller of fixed dynamic order. This is an output feedback stabilization problem. An algorithm attempts to solve this via a sequence of approximate pole assignment problems. The approximation is driven by the optimization of a performance index consisting of a weighted sum of the condition number of the closed-loop eigenvectors and the norm of the difference between the computed and actual controls.The algorithm can be used for generating low-order solutions to the regulator problem. The problem treated here is useful in design problems that involve parameter optimization and is also important in practical situations where stabilization is to be accomplished with a fixed number of available parameters.

This publication has 9 references indexed in Scilit: